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Mechanical Engineering (English)

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Bachelor TR-NQF-HE: Level 6 QF-EHEA: First Cycle EQF-LLL: Level 6

Course General Introduction Information

Course Code: MEC461
Course Name: İstatistik
Course Semester: Spring
Course Credits:
ECTS
6
Language of instruction:
Course Requirement:
Does the Course Require Work Experience?: No
Type of course: Area Ellective
Course Level:
Bachelor TR-NQF-HE:6. Master`s Degree QF-EHEA:First Cycle EQF-LLL:6. Master`s Degree
Mode of Delivery:
Course Coordinator : Ar.Gör. BAHAR İNCE
Course Lecturer(s): Prof. Dr. Esra UÇAR
Course Assistants:

Course Purpose and Content

Course Objectives: In this course, the student is expected to understand the basic arguments of probability and statistics theory and to be competent enough to apply them.
Course Content: Probability types and statistical analysis approaches

Learning Outcomes

The students who have succeeded in this course;
1) Calculates permutations and combinations.
2) Understands what a random variable is.
3) Defines basic probability terminologies such as experiment, result, sample space, event.
4) Defines a probability distribution and probability density function.
5) Understands the concept of mathematical expectation.
6) Explains the concepts of joint, marginal and conditional distribution.
7) Understands when/where specific probability distributions should be used.
8) It defines various special continuous distributions.
9) Can solve problems independently.

Course Flow Plan

Week Subject Related Preparation
1) Sets, Combinatoric Methods, Binomial Coefficients I. Miller, M. Miller, John E. Freund's Mathematical Statistics with Applications, Pearson Prentice Hall, Seventh Edition, New Jersey, ISBN: 0978-0-13-124646-1, 2004.
2) Sample Space, Event, Probability of an Event, Some Probability Rules I. Miller, M. Miller, John E. Freund's Mathematical Statistics with Applications, Pearson Prentice Hall, Seventh Edition, New Jersey, ISBN: 0978-0-13-124646-1, 2004.
3) Conditional Probability, Independent Events, Bayes Theorem I. Miller, M. Miller, John E. Freund's Mathematical Statistics with Applications, Pearson Prentice Hall, Seventh Edition, New Jersey, ISBN: 0978-0-13-124646-1, 2004.
4) Random Variables, Discrete Probability Distribution I. Miller, M. Miller, John E. Freund's Mathematical Statistics with Applications, Pearson Prentice Hall, Seventh Edition, New Jersey, ISBN: 0978-0-13-124646-1, 2004.
5) Continuous Random Variables I. Miller, M. Miller, John E. Freund's Mathematical Statistics with Applications, Pearson Prentice Hall, Seventh Edition, New Jersey, ISBN: 0978-0-13-124646-1, 2004.
6) Common Distributions I. Miller, M. Miller, John E. Freund's Mathematical Statistics with Applications, Pearson Prentice Hall, Seventh Edition, New Jersey, ISBN: 0978-0-13-124646-1, 2004.
7) Marginal and Conditional Distributions I. Miller, M. Miller, John E. Freund's Mathematical Statistics with Applications, Pearson Prentice Hall, Seventh Edition, New Jersey, ISBN: 0978-0-13-124646-1, 2004.
8) Mathematical Expectation of a Random Variable, Moments I. Miller, M. Miller, John E. Freund's Mathematical Statistics with Applications, Pearson Prentice Hall, Seventh Edition, New Jersey, ISBN: 0978-0-13-124646-1, 2004.
9) Chebyshev's Theorem, Moment Generating Functions I. Miller, M. Miller, John E. Freund's Mathematical Statistics with Applications, Pearson Prentice Hall, Seventh Edition, New Jersey, ISBN: 0978-0-13-124646-1, 2004.
10) Product Moments, Conditional Expectation I. Miller, M. Miller, John E. Freund's Mathematical Statistics with Applications, Pearson Prentice Hall, Seventh Edition, New Jersey, ISBN: 0978-0-13-124646-1, 2004.
11) Discrete Uniform Distribution, Bernolli Distribution, Binomial Distribution I. Miller, M. Miller, John E. Freund's Mathematical Statistics with Applications, Pearson Prentice Hall, Seventh Edition, New Jersey, ISBN: 0978-0-13-124646-1, 2004.
12) Negative Binomial and Geometric Distributions, Hypergeometric Distribution I. Miller, M. Miller, John E. Freund's Mathematical Statistics with Applications, Pearson Prentice Hall, Seventh Edition, New Jersey, ISBN: 0978-0-13-124646-1, 2004.
13) Poisson Distribution, Uniform Distribution I. Miller, M. Miller, John E. Freund's Mathematical Statistics with Applications, Pearson Prentice Hall, Seventh Edition, New Jersey, ISBN: 0978-0-13-124646-1, 2004.
14) Normal Distribution, Normal Approach to Binomial Distribution, Normal Approach to Poisson Distribution I. Miller, M. Miller, John E. Freund's Mathematical Statistics with Applications, Pearson Prentice Hall, Seventh Edition, New Jersey, ISBN: 0978-0-13-124646-1, 2004.
15) Finals Week
16) Finals Week
17) Finals Week

Sources

Course Notes / Textbooks: Murray R. Spiegel, John J. Schiller, and R. Alu Srinivasan, Probability and Statistics, Schaum's Outline Series, Third Edition, New York, ISBN: 978-0-07-154426-9, 2009.
I. Miller, M. Miller, John E. Freund's Mathematical Statistics with Applications, Pearson Prentice Hall, Seventh Edition, New Jersey, ISBN: 0978-0-13-124646-1, 2004.
References: Murray R. Spiegel, John J. Schiller, and R. Alu Srinivasan, Probability and Statistics, Schaum's Outline Series, Third Edition, New York, ISBN: 978-0-07-154426-9, 2009.
I. Miller, M. Miller, John E. Freund's Mathematical Statistics with Applications, Pearson Prentice Hall, Seventh Edition, New Jersey, ISBN: 0978-0-13-124646-1, 2004.

Course - Learning Outcome Relationship

No Effect 1 Lowest 2 Medium 3 Highest
       
Program Outcomes Level of Contribution
1) Having advanced theoretical and practical knowledge supported by textbooks, application tools and other resources containing current information in the field.
2) Ability to use advanced theoretical and practical knowledge acquired in the field.
3) Ability to interpret and evaluate data, identify and analyze problems, and develop solution suggestions based on research and evidence, using the advanced knowledge and skills acquired in the field.
4) To be able to inform relevant people and institutions on issues related to the field; Ability to convey thoughts and solution suggestions to problems in written and oral form.
5) Ability to share one's thoughts on issues related to one's field and solutions to problems, supported by quantitative and qualitative data, with experts and non-experts.
6) Ability to organize and implement projects and events for the social environment in which one lives with awareness of social responsibility.
7) Ability to monitor knowledge in the field and communicate with colleagues by using a foreign language at least at the European Language Portfolio B1 General Level.
8) Ability to use information and communication technologies along with computer software at least at the Advanced Level of the European Computer Usage License required by the field.
9) Acting in accordance with social, scientific, cultural and ethical values during the collection, interpretation, application and announcement of the results of data related to the field.
10) Having sufficient awareness about the universality of social rights, social justice, quality culture and protection of cultural values, environmental protection, occupational health and safety.
11) Ability to evaluate the advanced knowledge and skills acquired in the field with a critical approach.
12) Ability to identify learning needs and direct learning
13) Being able to develop a positive attitude towards lifelong learning.
14) Ability to independently carry out an advanced study related to the field.
15) Ability to take responsibility individually and as a team member to solve unforeseen complex problems encountered in field-related applications.
16) Ability to plan and manage activities aimed at the development of the employees under his/her responsibility within the framework of a project.

Learning Activity and Teaching Methods

Bireysel çalışma ve ödevi
Course
Homework
Problem Çözme

Measurement and Evaluation Methods and Criteria

Yazılı Sınav (Açık uçlu sorular, çoktan seçmeli, doğru yanlış, eşleştirme, boşluk doldurma, sıralama)
Homework
Uzman / Jüri Değerlendirmesi

Assessment & Grading

Semester Requirements Number of Activities Level of Contribution
Homework Assignments 1 % 20
Midterms 1 % 30
Final 1 % 40
Kanaat Notu 1 % 10
total % 100
PERCENTAGE OF SEMESTER WORK % 60
PERCENTAGE OF FINAL WORK % 40
total % 100

İş Yükü ve AKTS Kredisi Hesaplaması

Activities Number of Activities Aktiviteye Hazırlık Aktivitede Harçanan Süre Aktivite Gereksinimi İçin Süre Workload
Course Hours 17 2 34
Study Hours Out of Class 14 2 28
Midterms 1 48 48
Final 1 48 48
Total Workload 158